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Finding the Fourth Proportional to 214,919.80, 322,379.70 and 185,395.30

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Solution

The fourth proportional to 214,919.80, 322,379.70 and 185,395.30 is: 278,092.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,919.80 : 322,379.70 = 185,395.30 : x
  2. Step 2: Convert to fraction form
    214,919.80/322,379.70 = 185,395.30/x
  3. Step 3: Cross multiply
    214,919.80x = 322,379.70 × 185,395.30
  4. Step 4: Simplify right side
    214,919.80x = 59,767,681,195.41
  5. Step 5: Solve for x
    x = 59,767,681,195.41/214,919.80
  6. Step 6: Final answer
    x = 278,092.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.